In 1968, Robert Brehme1 wrote a carefully crafted paper on “The Advantage of Teaching Relativity with Four-Vectors.” In his abstract he points out that “the emphasis on relativistic mass is both undeserved and misleading.” Our approach is to find the best way to teach introductory physics in a way that includes modern physics. We have found that by starting with special relativity in the first week of the course, we establish a background we can use to introduce modern physics topics as we go along. While we agree that the four-vector formalism for relativity is elegant, it is clearly inappropriate in a physics course where we have not even discussed the concept of a coordinate system. Instead, we base all our discussion on the principle of relativity itself,2 which we feel may be a more basic concept than Minkowski's four vectors.

1.
Robert
Brehme
, “
The advantage of teaching relativity with four-vectors
,”
Am. J. Phys.
36
,
896
901
(
Oct. 1968
).
2.
Elisha
Huggins
, “
Special relativity in week one: The principle of relativity
,”
Phys. Teach.
49
,
148
151
(
March 2011
).
Elisha
Huggins
, “
Special relativity in week one: All clocks run slow
,”
Phys. Teach.
49
,
220
221
(
April 2011
).
Elisha
Huggins
, “
Special relativity in week one: Introducing the Lorentz contraction
,”
Phys. Teach.
49
,
302
303
(
May 2011
).
Elisha
Huggins
, “
Special relativity in week one: Lack of simultaneity
Phys. Teach.
49
,
340
341
(
Sept. 2011
).
3.
Edwin F.
Taylor
and
John Archibald
Wheeler
,
Exploring Black Holes
(
Addison-Wesley Longman
,
≈1999
).
4.

This is described in the “Lack of simultaneity” paper in Ref. 2.

5.
R. P.
Feynman
,
R. B.
Leighton
, and
M.
Sands
,
The Feynman Lectures on Physics
(
Addison-Wesley
,
MA
,
1963
), Vol. I, p.
10
4
.
6.

This result was derived by Feynman in Volume I Lecture 16, page 16–6. We have a slightly simpler derivation.

7.
Elisha
Huggins
, “
Weighing photons using bathroom scales: A thought experiment
,”
Phys. Teach.
48
,
287
288
(
May 2010
).
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